In certain situations, it is possible to incorporate frictional effects in a simple way into a Lagrangian problem As an example, consider the Lagrangian (a) Find the equation of motion for the system (b) Do a coordinate change (s e gamma t 2 q ) Rewrite the dynamics in terms of (s ) (c) How would y...

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In certain situations, it is possible to incorporate frictional effects in a simple way into a Lagrangian

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In certain situations, it is possible to incorporate frictional effects in a simple way into a Lagrangian problem. As an example, consider the Lagrangian

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(a) Find the equation of motion for the system.

(b) Do a coordinate change $s=e^{\gamma t / 2} q$. Rewrite the dynamics in terms of $s$.

(c) How would you describe the system?

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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Question Posted: Mar 16, 2024 11:30 AM

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In certain situations, it is possible to incorporate frictional effects in a simple way into a Lagrangian

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L = e (m - kg) 2

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Modern Classical Mechanics

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